Given the functions $f(x) = x - 5$ and $g(x) = x^2 - 1$, you can perform various operations or analyses. Here are a few possibilities:

1. Evaluate the functions at specific values of $x$:

   • For example, find $f(2)$ or $g(3)$.

2. Compose the functions:

   • Find $(f \circ g)(x)$, which means $f(g(x))$.
   • Find $(g \circ f)(x)$, which means $g(f(x))$.

3. Find the inverse of the functions:

   • Determine $f^{-1}(x)$ or $g^{-1}(x)$, if they exist.

4. Solve equations involving the functions:

   • For example, solve $f(x) = g(x)$ or $f(x) = 0$.

5. Graph the functions:

   • Sketch the graphs of $f(x)$ and $g(x)$ on the same coordinate plane.

Would you like to perform any specific operation or analysis with these functions?

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Here are five related questions to expand on the information:

1. What is the value of $f(3)$ and $g(2)$?
2. How would you find $(f \circ g)(x)$ and what is the result?
3. Can you determine the inverse of $f(x) = x - 5$?
4. What are the solutions to the equation $f(x) = g(x)$?
5. How would you graphically represent $f(x)$ and $g(x)$ on the same set of axes?

Tip: When composing functions, remember to substitute the entire expression of one function into the other.